Joint Distributions

by Eulogy
Tags: distributions, joint
Eulogy is offline
Jun9-12, 08:55 PM
P: 8
1. The problem statement, all variables and given/known data
Let U,Y be independent random variables. Here U is uniformly distributed on (0,1) Where as
Y~0.25[itex]\delta_{0}[/itex] + 0.75[itex]\delta_{1}[/itex]. Let X = UY. Find the Cdf and compute

3. The attempt at a solution
Normally a question like this is fairly straightforward but I'm having trouble understanding how Y is distributed.
Phys.Org News Partner Science news on
Going nuts? Turkey looks to pistachios to heat new eco-city
Space-tested fluid flow concept advances infectious disease diagnoses
SpaceX launches supplies to space station (Update)
vela is offline
Jun9-12, 11:10 PM
Sci Advisor
HW Helper
PF Gold
P: 11,524
I take that to mean Y is a discrete random variable that assumes the value 0 25% of the time and the value 1 the remaining 75% of the time.

Register to reply

Related Discussions
Statistics - difference between joint distribution and joint density? Calculus & Beyond Homework 1
Help with joint distributions? Calculus & Beyond Homework 1
Deriving Joint Distribution Function from Joint Density (check my working pls!) Calculus & Beyond Homework 8
Probability : joint density function of 3 Normal Distributions Precalculus Mathematics Homework 3
Joint and conditional distributions Set Theory, Logic, Probability, Statistics 3